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Stels [109]
3 years ago
12

Algebra, pls help

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

Product of 6 and a number would be 6x\\.

Nine more than a number? x/2 +9

Combine a number and 7? Either 7x or x + 7.

Step-by-step explanation:

Question 1 is relatively simple. 6 is a constant, so it can be inserted into any equation and maintain the same value. "A number" could represent anything, so we'll represent it with a variable. This gives you 6x (also 6*x)

Question 2 is the same as the first with 1 more step added to it. A number, as previously stated, is represented by the variable x. You divide this by the constant value of 2 to give you \frac{x}{2}. Nine more would add +9 to the expression. Your final answer would be \frac{x}{2} + 9.

Question 3. Combine is a bit vague, but it could be either addition or multiplication. This could give you either 7x or 7+x.

Hope it was helpful.

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3 years ago
the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surfa
Elden [556K]

Answer:

i. Curved surface area = 2310 cm^{2}

ii. Total surface area = 3696 cm^{2}

iii. volume = 12936 cm^{3}

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2\pir

132 = 2\pir

r = \frac{132}{2\pi }

 = \frac{66}{\pi }

r = 66 x \frac{7}{22}

 = 3 x 7

 = 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

l^{2} = h^{2} + r^{2}

  = 28^{2} + 21^{2}

  = 784 + 441

  = 1225

l = \sqrt{1225}

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = \pirl

                           = \frac{22}{7} x 21 x 35

                           = 22 x 3 x 35

                           = 2310

curved surface area of the cone is 2310 cm^{2}.

ii. Total surface area = \pi r^{2} + \pirl

                                  = \pir(r + l)

                                  = \frac{22}{7} x 21 (21 + 35)

                                  = 22 x 3 x 56

                                  = 3696

The total surface area of the cone is 3696 cm^{2}.

iii. volume of a cone = \frac{1}{3}\pi r^{2}h

                                  =  \frac{1}{3} x \frac{22}{7} x 21^{2} x 28

                                   = 12936

The volume of the cone is 12936 cm^{3}

5 0
3 years ago
Which of the following pairs of numbers contains like fractions?
Harrizon [31]

Answer:

D

Step-by-step explanation:

if you multiply 5 by 2 you get 10

if you multiply 6 by 2 you get 12

5/2 (2) =10/12

Hope this helped

:)

4 0
3 years ago
Read 2 more answers
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